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Finding the Fourth Proportional to 157,120.70, 216,831.46 and 89,140.54

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Solution

The fourth proportional to 157,120.70, 216,831.46 and 89,140.54 is: 123,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120.70 : 216,831.46 = 89,140.54 : x
  2. Step 2: Convert to fraction form
    157,120.70/216,831.46 = 89,140.54/x
  3. Step 3: Cross multiply
    157,120.70x = 216,831.46 × 89,140.54
  4. Step 4: Simplify right side
    157,120.70x = 19,328,473,433.39
  5. Step 5: Solve for x
    x = 19,328,473,433.39/157,120.70
  6. Step 6: Final answer
    x = 123,016.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.